g+18log(g)=139.6

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Solution for g+18log(g)=139.6 equation:


Simplifying
g + 18log(g) = 139.6

Multiply glo * g
g + 18g2lo = 139.6

Solving
g + 18g2lo = 139.6

Solving for variable 'g'.

Reorder the terms:
-139.6 + g + 18g2lo = 139.6 + -139.6

Combine like terms: 139.6 + -139.6 = 0.0
-139.6 + g + 18g2lo = 0.0

Begin completing the square.  Divide all terms by
18lo the coefficient of the squared term: 

Divide each side by '18lo'.
-7.755555556l-1o-1 + 0.05555555556gl-1o-1 + g2 = 0.0l-1o-1

Move the constant term to the right:

Add '7.755555556' to each side of the equation.
-7.755555556l-1o-1 + 0.05555555556gl-1o-1 + 7.755555556 + g2 = 7.755555556 + 0.0l-1o-1

Reorder the terms:
7.755555556 + 0.05555555556gl-1o-1 + g2 + -7.755555556l-1o-1 = 7.755555556 + 0.0l-1o-1

Combine like terms: 7.755555556 + 0.0 = 7.755555556
7.755555556 + 0.05555555556gl-1o-1 + g2 + -7.755555556l-1o-1 = 7.755555556

The g term is gl-1o-1.  Take half its coefficient (0.5l-1o-1).
Square it (0.25l-2o-2) and add it to both sides.

Add '0.25l-2o-2' to each side of the equation.
7.755555556 + 0.05555555556gl-1o-1 + g2 + 0.25l-2o-2 + -7.755555556l-1o-1 = 7.755555556 + 0.25l-2o-2

Factor a perfect square on the left side:
(g + 0.5l-1o-1)(g + 0.5l-1o-1) = 7.755555556 + 0.25l-2o-2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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